Pith Number

pith:JDJCLPRO

pith:2014:JDJCLPROISWW2OZ2NEXKOL2ICG

not attested not anchored not stored refs pending

The rainbow connection number of the power graph of a finite group

Kaishun Wang, Min Feng, Xuanlong Ma

arxiv:1412.5849 v2 · 2014-12-18 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDJCLPROISWW2OZ2NEXKOL2ICG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:36:03.872162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48d225be2e44ad6d3b3a692ea72f48119608925ac368bd4fc628ff8b61e10dbf

Aliases

arxiv: 1412.5849 · arxiv_version: 1412.5849v2 · doi: 10.48550/arxiv.1412.5849 · pith_short_12: JDJCLPROISWW · pith_short_16: JDJCLPROISWW2OZ2 · pith_short_8: JDJCLPRO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JDJCLPROISWW2OZ2NEXKOL2ICG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 48d225be2e44ad6d3b3a692ea72f48119608925ac368bd4fc628ff8b61e10dbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a06bc2f9871c05237e9293004b92b21c7fbe45c448ac779dc69f77210089c588",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-18T13:19:36Z",
    "title_canon_sha256": "cc7118f62be0a3f7d8f39bf0fe431f6299fd0b8683abe5791327b3f309ff809d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5849",
    "kind": "arxiv",
    "version": 2
  }
}